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86677890 = 235131092039
BaseRepresentation
bin1010010101010…
…01100110000010
320001002200201020
411022221212002
5134142143030
612333450310
72101515135
oct512514602
9201080636
1086677890
1144a22422
1225040996
1314c5aac0
14b72421c
157922510
hex52a9982

86677890 has 64 divisors (see below), whose sum is σ = 226195200. Its totient is φ = 21129984.

The previous prime is 86677873. The next prime is 86677933. The reversal of 86677890 is 9877668.

It is a happy number.

It is a super-2 number, since 2×866778902 = 15026113229704200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41491 + ... + 43529.

It is an arithmetic number, because the mean of its divisors is an integer number (3534300).

Almost surely, 286677890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86677890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113097600).

86677890 is an abundant number, since it is smaller than the sum of its proper divisors (139517310).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86677890 is a wasteful number, since it uses less digits than its factorization.

86677890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171.

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 86677890 is about 9310.0961326938. The cubic root of 86677890 is about 442.5572334920.

The spelling of 86677890 in words is "eighty-six million, six hundred seventy-seven thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 109 130 195 218 327 390 545 654 1090 1417 1635 2039 2834 3270 4078 4251 6117 7085 8502 10195 12234 14170 20390 21255 26507 30585 42510 53014 61170 79521 132535 159042 222251 265070 397605 444502 666753 795210 1111255 1333506 2222510 2889263 3333765 5778526 6667530 8667789 14446315 17335578 28892630 43338945 86677890